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387 lines (387 loc) · 33.1 KB
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{
"n": [2, 7, 8],
"m": 88,
"z2": false,
"complexity": 745,
"multiplications": [
"m1 = (-a21) * (-b11 + b21 + b41 + b51 + b61)",
"m2 = (-a13 - a14 + a15) * (b15 - b35 - b53 + b73)",
"m3 = (a12 - a15) * (b52 + b62)",
"m4 = (-a16 + a17) * (b15 - b26 - b48 + b68 - b75 + b76)",
"m5 = (-a24 + a25 - a26) * (b64)",
"m6 = (a21 - a24 + a25 - a26 + a27) * (b62)",
"m7 = (a27) * (b15 - b17 - b26 + b27 + b37 + b47 + b51 + b57 + b67 - b71 - b75 + b77)",
"m8 = (a21 + a26) * (b51 + b61)",
"m9 = (a16) * (b15 - b16 + b36 + b46 + b56 + b64 + b66 - b75 + b76)",
"m10 = (a13 - a16) * (-b26 + b36)",
"m11 = (-a11 + a21) * (-b11 + b12 + b14 + b16 + b18 - b26 + b48 + b51 + b62)",
"m12 = (a15 - a25) * (-b15 - b46 - b48 + b52 - b53 + b54 + b55 - b56 - b58 + b62 + b73)",
"m13 = (a13 - a23) * (-b13 + b15 + b24 + b26 + b28 - b31 + b32 + b33 - b34 - b35 - b36 - b38 + b51 + b62)",
"m14 = (-a12 + a17) * (b51 + b62 - b71 + b72)",
"m15 = (a24 - a25) * (b15 + b45 + b64)",
"m16 = (-a16 - a21) * (-b16 + b26 + b51 + b61)",
"m17 = (a12 + a13 + a14 - a22 - a23 - a24) * (b24)",
"m18 = (a11 + a12 + a13 - a14 + a15 - a21 - a22 - a23 + a24 - a25) * (-b48 + b68)",
"m19 = (a14 - a15) * (b15 - b26 - b35 - b46 - b53 + b54 + b73)",
"m20 = (a11 + a12 + a13 - a14 + a15 - a16 + a17) * (b18 - b26 - b28 + b38 + b48 + b58 - b62 + b68 + b78)",
"m21 = (-a12 + a22) * (-b13 - b15 + b17 - b21 + b22 + b23 + b25 - b27 + b51 + b62)",
"m22 = (a11 + a12 - a17 - a21 - a22 + a27) * (-b17 + b37)",
"m23 = (a12 - a27) * (-b17 + b27 + b51 + b62 - b71 + b72)",
"m24 = (a22 - a27) * (-b17 + b27)",
"m25 = (a11 + a12) * (b12 - b31 + b62 + b71)",
"m26 = (a14 - a17) * (b74)",
"m27 = (a22 + a23) * (-b13 + b23 + b42)",
"m28 = (-a13 - a14) * (b15 + b24 - b34 - b35 - b53 + b73)",
"m29 = (-a16 + a24 - a25 + a26) * (b26 + b46 + b64)",
"m30 = (a11 + a12 - a17 + a27) * (b17 - b37 - b51 + b71)",
"m31 = (-a11 - a12 + a17) * (-b51 + b71)",
"m32 = (-a15 + a16 - a17 + a25 - a26 + a27) * (-b37 + b57)",
"m33 = (-a13 - a14 + a15 + a23) * (-b15 + b35)",
"m34 = (-a16 + a23) * (-b26 + b36 + b63 + b73)",
"m35 = (a14 - a22 - a23 - a24) * (-b24 - b42 + b62)",
"m36 = (a11 + a12 + a13 - a14 + a15 - a16 + a17 - a21 + a24 - a25 + a26 - a27) * (b28 + b48 + b62)",
"m37 = (-a11 - a12 - a13 + a14 - a15 + a16 - a17 + a27) * (-b26 + b37 + b68 + b78)",
"m38 = (a24 - a27) * (b37 + b47)",
"m39 = (a22 - a25) * (-b15 + b25)",
"m40 = (-a16 + a25) * (b15 + b46 + b56 + b64 + b65)",
"m41 = (-a12 + a25) * (b15 - b25 + b52 + b62)",
"m42 = (-a15 + a16 - a17 + a27) * (-b15 + b37 - b57 + b75)",
"m43 = (-a25 + a26) * (b15 - b37 + b57 + b64 + b65)",
"m44 = (a16 - a26) * (b15 + b46 + b51 + b57 + b61 + b63 + b64 + b65 - b66 + b67 + b73)",
"m45 = (-a23 + a26) * (b63 + b73)",
"m46 = (-a17 + a27) * (b15 - b17 - b26 + b37 + b51 + b57 + b62 + b68 - b71 + b72 - b74 - b75 + b76 - b77 + b78)",
"m47 = (-a11 - a12 + a14 - a15 + a16 - a17) * (-b28 + b38)",
"m48 = (-a14 + a27) * (-b37 - b47 + b74)",
"m49 = (a15 - a16 + a17) * (-b15 + b75)",
"m50 = (a26 - a27) * (-b26 + b57 + b67)",
"m51 = (a21 + a22) * (-b13 - b17 + b21 + b37 - b51 + b73)",
"m52 = (a14) * (-b14 + b15 + b24 - b34 - b35 + b42 + b44 - b53 + b54 - b62 + b73 + b74)",
"m53 = (a12) * (-b12 + b22 + b31 - b32 + b52 + b62 - b71 + b72)",
"m54 = (a14 - a15 + a16 - a24 + a25 - a26) * (b26 + b46)",
"m55 = (a11 + a14) * (b14)",
"m56 = (-a11 - a12 - a13 + a14 - a15 + a16) * (b68 + b78)",
"m57 = (a22 + a23 - a24 + a25 - a26 + a27) * (b51)",
"m58 = (-a11 - a12 - a13 + a14 + a16 - a17) * (b48 + b58)",
"m59 = (a16 - a27) * (b15 - b26 + b57 + b67 - b75 + b76)",
"m60 = (a11 + a12 + a13 - a21 - a22 - a23) * (-b13 + b73)",
"m61 = (a22 + a23 + a24) * (-b42 + b62)",
"m62 = (-a25) * (-b15 - b25 - b45 - b53 - b55 - b64 - b65 + b73)",
"m63 = (a11 + a12 + a13 - a14 + a15 - a16 + a17 - a21 - a22 - a23 + a24 - a25 + a26 - a27) * (b15 - b26 - b28 + b37 - b48 + b51 - b62 + b68 + b73)",
"m64 = (a23) * (b13 - b15 - b23 - b31 + b33 + b35 - b42 - b43 + b51 + b63)",
"m65 = (-a11 + a14 - a15 + a16 - a17 + a21 - a24 + a25 - a26 + a27) * (b28 + b48)",
"m66 = (-a12 - a13 + a14 - a15 + a16 - a17) * (b18 + b48)",
"m67 = (a21 + a22 + a23 - a24 - a26 + a27) * (b15)",
"m68 = (a14 - a24) * (-b15 + b24 - b37 + b41 + b42 + b43 - b44 - b45 - b47 + b51 - b62 + b73)",
"m69 = (a13 + a14 - a15 + a25) * (-b53 + b73)",
"m70 = (-a11 - a12 - a13 + a23) * (-b13 + b31 - b51 + b73)",
"m71 = (-a11 - a12 - a13 + a14 - a15 + a16 - a17 + a23) * (-b28 + b38 - b62 + b73)",
"m72 = (-a11 - a12 - a13 + a14 - a15 + a16 - a17 + a25) * (b15 + b48 + b58)",
"m73 = (-a14 - a21) * (-b14 + b41 + b51)",
"m74 = (-a11 - a12 - a13 + a14 - a15 + a16 - a17 + a21 + a22 + a23 - a24 + a25) * (-b26 - b48 + b68)",
"m75 = (a12 + a21) * (b12 - b21 + b51 + b62)",
"m76 = (-a11 - a12 - a13 + a14 - a15 + a16 - a17 + a21) * (b18 + b48 + b51)",
"m77 = (-a11 - a12 - a13) * (-b31 + b51)",
"m78 = (a21 + a22 + a23 - a24 + a25 - a26) * (-b26 + b37)",
"m79 = (a23 + a24) * (b42 + b43 - b62 + b73)",
"m80 = (a12 + a23) * (-b13 + b23 - b31 + b32 + b51 + b62)",
"m81 = (-a11 - a16) * (-b16 + b26)",
"m82 = (-a15 + a16) * (-b15 - b46 - b56 + b75)",
"m83 = (-a12 - a13) * (b24 + b28 - b31 + b32 + b48 + b51 + b62)",
"m84 = (a21 + a22 - a24 + a25 - a26 + a27) * (-b62 + b73)",
"m85 = (a21 + a22 + a23 - a24 + a25) * (b26)",
"m86 = (a21 + a24) * (b41 + b51)",
"m87 = (-a14 + a25) * (-b15 - b45 - b53 + b54 + b73)",
"m88 = (-a14 - a23) * (b15 + b24 - b34 - b35 + b42 + b43 - b62 + b73)"
],
"elements": [
"c11 = m1 + m11 - m16 + m25 + m31 + m55 + m66 - m73 - m75 - m76 + m77 + m81",
"c12 = -m3 - m6 + m14 - m17 + m25 + m31 - m35 - m36 + m53 - m61 - m65 + m77 - m83",
"c13 = -m2 + m6 + m10 + m13 + m17 + m28 - m33 - m34 + m35 + m36 + m47 + m61 + m64 + m65 + m70 - m71 + m77 + m80 + m83 - m88",
"c14 = -m2 - m5 + m17 - m19 - m26 + m28 - m29 + m35 + m52 - m54 + m55 + m61",
"c15 = m2 + m3 + m5 + m12 + m19 + m29 - m40 + m41 + m49 + m54 + m58 + m62 + m69 - m72 + m82 + m87",
"c16 = m4 + m5 + m9 + m10 + m18 + m29 + m49 + m54 + m74 + m81 + m82 + m85",
"c17 = m4 + m7 + m14 + m18 + m23 + m26 + m30 + m31 - m37 + m42 + m46 + m48 + m49 + m56 + m59 + m74 + m85",
"c18 = m6 + m18 + m20 + m36 + m47 + m56 + m58 + m65 + m66 + m74 + m85",
"c21 = m1 + m8 + m22 + m30 + m31 + m51 + m57 + m60 + m70 + m77 + m86",
"c22 = -m6 + m21 + m22 - m23 + m24 - m27 + m30 + m31 - m39 + m41 + m51 + m53 + m60 - m61 + m70 + m75 + m77 + m80",
"c23 = -m2 + m6 + m27 - m33 + m45 + m60 + m61 + m64 - m69 + m70 + m77 + m79 + m84",
"c24 = -m2 - m5 - m15 - m33 + m35 - m38 + m48 + m52 + m61 + m68 - m69 + m73 + m79 + m86 + m87 + m88",
"c25 = m2 + m5 + m15 + m32 + m33 + m39 + m42 + m43 + m49 + m62 + m67 + m69",
"c26 = m5 + m8 + m9 + m16 + m29 + m32 + m34 + m40 + m42 + m43 + m44 + m45 + m49 + m50 - m59 + m85",
"c27 = m7 + m22 + m24 + m30 + m31 + m32 + m38 + m42 + m49 + m50 + m78 + m85",
"c28 = m6 + m20 + m36 + m37 + m57 + m63 + m67 + m71 + m72 + m74 + m76 + m78 + m84 + m85"
],
"u": [
[0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0],
[0, 0, -1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0],
[0, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 0],
[0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 1, -1, 1],
[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1],
[0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0],
[0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0],
[0, 0, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0],
[-1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, 0, 0],
[0, 0, 1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0],
[0, -1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0],
[0, 0, 0, 0, 0, -1, 0, -1, 0, 0, 0, 0, 0, 0],
[0, 1, 1, 1, 0, 0, 0, 0, -1, -1, -1, 0, 0, 0],
[1, 1, 1, -1, 1, 0, 0, -1, -1, -1, 1, -1, 0, 0],
[0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0],
[1, 1, 1, -1, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0],
[0, -1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0],
[1, 1, 0, 0, 0, 0, -1, -1, -1, 0, 0, 0, 0, 1],
[0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1],
[0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1],
[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
[0, 0, 0, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0],
[0, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 1, -1, 1, 0],
[1, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 1],
[-1, -1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0],
[0, 0, 0, 0, -1, 1, -1, 0, 0, 0, 0, 1, -1, 1],
[0, 0, -1, -1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0],
[0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0],
[0, 0, 0, 1, 0, 0, 0, 0, -1, -1, -1, 0, 0, 0],
[1, 1, 1, -1, 1, -1, 1, -1, 0, 0, 1, -1, 1, -1],
[-1, -1, -1, 1, -1, 1, -1, 0, 0, 0, 0, 0, 0, 1],
[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1],
[0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0],
[0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 1, 0, 0],
[0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0],
[0, 0, 0, 0, -1, 1, -1, 0, 0, 0, 0, 0, 0, 1],
[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0],
[0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, 0],
[0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, 0],
[0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 1],
[-1, -1, 0, 1, -1, 1, -1, 0, 0, 0, 0, 0, 0, 0],
[0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1],
[0, 0, 0, 0, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1],
[0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0],
[0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
[0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
[0, 0, 0, 1, -1, 1, 0, 0, 0, 0, -1, 1, -1, 0],
[1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
[-1, -1, -1, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, 1, -1, 1],
[-1, -1, -1, 1, 0, 1, -1, 0, 0, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1],
[1, 1, 1, 0, 0, 0, 0, -1, -1, -1, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0],
[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0],
[1, 1, 1, -1, 1, -1, 1, -1, -1, -1, 1, -1, 1, -1],
[0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0],
[-1, 0, 0, 1, -1, 1, -1, 1, 0, 0, -1, 1, -1, 1],
[0, -1, -1, 1, -1, 1, -1, 0, 0, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 0, 0, 1, 1, 1, -1, 0, -1, 1],
[0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0],
[0, 0, 1, 1, -1, 0, 0, 0, 0, 0, 0, 1, 0, 0],
[-1, -1, -1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0],
[-1, -1, -1, 1, -1, 1, -1, 0, 0, 1, 0, 0, 0, 0],
[-1, -1, -1, 1, -1, 1, -1, 0, 0, 0, 0, 1, 0, 0],
[0, 0, 0, -1, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0],
[-1, -1, -1, 1, -1, 1, -1, 1, 1, 1, -1, 1, 0, 0],
[0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0],
[-1, -1, -1, 1, -1, 1, -1, 1, 0, 0, 0, 0, 0, 0],
[-1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 0, 0, 1, 1, 1, -1, 1, -1, 0],
[0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0],
[0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0],
[-1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0],
[0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0],
[0, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 0, 0, 1, 1, 0, -1, 1, -1, 1],
[0, 0, 0, 0, 0, 0, 0, 1, 1, 1, -1, 1, 0, 0],
[0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0],
[0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0],
[0, 0, 0, -1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0]
],
"v": [
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],
"invariant_f": "2x^7yz + 2xy^7z + 2xyz^7 + 4x^6yz + 4xy^6z + 2x^4y^2z^2 + 2x^2y^4z^2 + 2x^2y^2z^4 + 4xyz^6 + 6x^5yz + 6xy^5z + 14x^3y^2z^2 + 14x^2y^3z^2 + 14x^2y^2z^3 + 6xyz^5 + 12x^4yz + 12xy^4z + 90x^2y^2z^2 + 12xyz^4 + 16x^3yz + 4x^2y^2z + 16xy^3z + 4x^2yz^2 + 4xy^2z^2 + 16xyz^3 + 22x^2yz + 22xy^2z + 22xyz^2 + 192xyz",
"invariant_g": "w^193 + 2w^113",
"type": "XY^7Z + 2XY^6Z + X^2Y^4Z^2 + 3XY^5Z + 7X^2Y^3Z^2 + 6XY^4Z + 15X^2Y^2Z^2 + 8XY^3Z + 2X^2YZ^2 + 11XY^2Z + 32XYZ"
}